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Finding the Fourth Proportional to 656.51, 906.16 and 407.69

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Solution

The fourth proportional to 656.51, 906.16 and 407.69 is: 562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.51 : 906.16 = 407.69 : x
  2. Step 2: Convert to fraction form
    656.51/906.16 = 407.69/x
  3. Step 3: Cross multiply
    656.51x = 906.16 × 407.69
  4. Step 4: Simplify right side
    656.51x = 369,426.82
  5. Step 5: Solve for x
    x = 369,426.82/656.51
  6. Step 6: Final answer
    x = 562.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.